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Finding the Third Proportional to 447,890 and 678,942

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Solution

The third proportional to 447,890 and 678,942 is: 1,029,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,890 : 678,942 = 678,942 : x
  2. Step 2: Convert to fraction form
    447,890/678,942 = 678,942/x
  3. Step 3: Cross multiply
    447,890x = 678,942 × 678,942
  4. Step 4: Simplify right side
    447,890x = 460,962,239,364
  5. Step 5: Solve for x
    x = 460,962,239,364/447,890
  6. Step 6: Final answer
    x = 1,029,186.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.